Question

What are the intercepts of the equation 3x-5y=30? the x and y intercepts.

Answer 1

Answer: (10,0) and (0,-6)

Explanation:

To find the y intercepts we solve the equation for when x=0. So we have 3(0)-5y=30 which reduces to -5y=30. Divide -5 on both sides and get y=-6. Therefore, the y intercept is (0,-6). To find the x intercept plug 0 in for y. Then you get x=10, so the x intercept is (10,0).

Answer 2

x-intercept (10, 0)

y-intercept (0, -6)

Explanation:

The x-intercept is where y = 0. Thus, set y as 0 to find the x-intercept:

3x - 5(0) = 30

3x - 0 = 30

3x = 30

x = 10 The x-intercept is (10, 0)

The y-intercept is where x = 0. Thus, set x as 0 to find the y-intercept:

3(0) - 5y = 30

0 - 5y = 30

-5y = 30

y = -6 The y-intercept is (0, -6)